极大π-商群与正规π-补

Maximal π-quotients and Normal π-complements

通过对焦点子群性质的讨论 ,获得了有关π_商群的若干结果。特别获得了若干极大π_商群的同构定理 ,并且作为这些同构定理的应用 ,得到了一个正规π_补的充分条件。

By the study of the properties of focal subgroups under certain conditions,a number of results about π _quotients, in particular, a number of isomorphisms of maximal π _factors are obtained. As an application of these results, a sufficient condition with which a group is π ′_closed is achieved.